Question

In the figure, m∠1 = (5x)°, m∠2 = (4x + 10)° and, m∠3 = (10x − 5)°. What is m∠3, in degrees?

Answer 1

87.1 degrees

Explanation:

First, you know the sum of the angles is 180 degrees. So, 5x+4x+10+10x-5=180.

Then, simplify to 19x+5=180. So, 19x=175. That means by dividing both sides by 19 x is approximately 9.21.

Finally, plug in x into angle 3.

10x9.21-5

=92.1-5

=87.1

So, the third angle is approximately 87.1.